The length of DE is 3 bc they are dilated at a ratio of 1 : 1.5
Answer:
It is A
Step-by-step explanation:
5 and 6 are the only numbers greater than 4 and they are both heads and tails.
Using translation concepts, the correct statements are given as follows:
- Ava's graph is vertical translation of x².
- Ava's graph has a y-intercept of 4.
- Victor's graph moves 4 units from f(x) = x² in a positive direction.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
it will cost $205.99 dollars
Step-by-step explanation:
Answer:
13 months
Step-by-step explanation:
x is the number of months
first phone:
f(x) = 55x + 100
second phone:
g(x) = 51x + 150
now set up the inequality
g(x)<f(x)
51x + 150 < 55x + 100
Solve the inequality:
51x + 150 < 55x + 100
(get everything on the correct sides... combine the like terms)
51x - 55x < 100 - 150
-4x < -50
divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)
x > 50/4
x > 12.5
round up to 13
